1143182880 has 576 divisors, whose sum is σ = 4830658560. Its totient is φ = 240371712.

The previous prime is 1143182863. The next prime is 1143182881. The reversal of 1143182880 is 882813411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1143182881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9001377 + ... + 9001503.

It is an arithmetic number, because the mean of its divisors is an integer number (8386560).

Almost surely, 2^1143182880 is an apocalyptic number.

1143182880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415329280).

1143182880 is an abundant number, since it is smaller than the sum of its proper divisors (3687475680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1143182880 is a wasteful number, since it uses less digits than its factorization.

1143182880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1143182880 is about 33810.9875632168. The cubic root of 1143182880 is about 1045.6152386960.

The spelling of 1143182880 in words is "one billion, one hundred forty-three million, one hundred eighty-two thousand, eight hundred eighty".